On the approximation properties of Cesàro means of negative order of double Vilenkin – Fourier series

• Date: 2020
• Main Authors: Tepnadze, T., Тепнадзе, Т.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6045
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We establish approximation properties of Ces\`{a}ro $% (C,-\alpha ,-\beta)$ means with $\alpha ,\beta $ $\epsilon $ $(0,1)$ of Vilenkin\,--\,Fourier series. This result allows one to obtain a condition which is sufficient for the converge...